Vectors, coordinate system transformations, elements of matrix algebra. The principle of direct equilibrium. Element equation of springs and bars. FE analysis of trusses. Element equation of beams. FE analysis of frames. The principle of Minimum Potential Energy for springs, bars and beams. Elasticity equations for 2D and 3D elements. Isoparametric elements. FE analysis of plane stress problems. FE modelling of heat conduction and convection problems - Modeling and analysis using computer algorithms in MATLAB & CALFEM. Modeling and analysis using contemporary commercial software (ANSYS).
Dette er emnebeskrivelsen for studieåret 2022-2023. Merk at det kan komme endringer.
Main topics of the course include: An Overview of the Finite Element Method- Mathematical Background- Linear Spring Elements-Bar Elements- Trusses- Beams- Frames- The principle of Minimum Potential Energy for 1-D Elements- Elasticity equations for 2-D and 3-D solids- The principle of Minimum Potential Energy for 2-D and 3-D elements- Finite Element modelling of Heat Transfer
Learning outcome
After the completion of the course, the students will have sufficient knowledge and basic understanding of the finite element method. They will be able to solve basic problems of trusses, frames and two-dimensional structures. Furthermore, with the use of finite element computer programs, the students will acquire skills in solution of mechanical and structural engineering problems.
Both parts must be passed to obtain an overall pass in the subject.
No resit or deferred exam is arranged for the project work. If a student fails the project work, she/he will have to take this part again the next time the subject is lectured.
Vilkår for å gå opp til eksamen/vurdering
Compulsory assignments
To take exam in this course, 6 out of in total 7 of the compulsory assignments must have been approved.
Compulsory course attendance that must be completed and approved before access to the laboratory: Electronic Course in Health, Safety and Environment
4 hours lectures pr week. 2 hours exercises and project work for 4 weeks with tutor 2 hours pr week. Compulsory assignments. The project is done as a team work and is graded.
Åpent for
Bachelor in Mechanical and Structural Engineering at the Faculty of Science and Technology.